基于蜂群算法的坦克阵地部署与火力分配模型

doi:10.12305/j.issn.1001-506X.2022.02.24

Abstract

Abstract:

In order to solve the problem of troop deployment and firepower coordination of tank detachment in offensive combat, this paper puts forward the model of tank position deployment and the model of tank firepower allocation. The former solves the problem of troop allocation from assembly area to combat area of tank detachment, and the latter solves the problem of firepower coordination of tank detachment after contacting enemies. According to the antagonistic characteristics of tank operations, a deterministic firepower confrontation model is established, and the dynamic antagonistic process is embodied in the firepower distribution model. In order to find the optimal plan of tank position deployment and firepower allocation, the two-layer iteration strategy is adopted, the bottom iteration is used to solve the firepower allocation model, and the upper iteration is used to find the optimal plan of tank position deployment by calling the results of the bottom iteration. Based on the specific characteristics and prior knowledge of the model, the artificial bee colony (ABC) algorithm is designed to improve the convergence speed and accuracy of the algorithm. The simulation results show the effectiveness of the ABC algorithm and the rationality of the two-layer iterative optimization strategy.

Key words: tank detachment, troop deployment, firepower allocation, artificial bee colony (ABC) algorithm

CLC Number:

E920.8

Kaixuan CHU, Tianqing CHANG, Depeng KONG, Lei ZHANG, Haoze SUN. Bee colony algorithm based model of tank troop deployment and firepower allocation[J]. Systems Engineering and Electronics, 2022, 44(2): 546-556.

Figures/Tables 14

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References 29

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小规模			中规模			大规模
m	a	n	m	a	n	m	a	n
10	4	3	20	7	7	40	10	15
Y₁=[2, 3, 2, 3] Y₂=[3, 1, 4, 2] Y₃=[1, 3, 3, 3]			Y₁=[3, 2, 3, 3, 3, 3, 3] Y₂=[4, 1, 3, 5, 2, 2, 3] Y₃=[3, 5, 3, 3, 1, 1, 4]			Y₁=[3, 5, 3, 6, 5, 4, 6, 2, 3, 3] Y₂=[3, 5, 3, 5, 1, 7, 1, 1, 9, 5] Y₃=[6, 3, 4, 3, 4, 5, 1, 3, 4, 7]

射击区域	目标
射击区域	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15
1	0.25	0.30	0.20	0.15	0.15	0.15	0.20	0.15	0.20	0.15	0.15	0.15	0.15	0	0
2	0.20	0.20	0.20	0.25	0.10	0.15	0.20	0.10	0.20	0	0.25	0.25	0.10	0	0.10
3	0	0.15	0.30	0.10	0.20	0.25	0.15	0.30	0	0	0.10	0.15	0	0.10	0.15
4	0	0.20	0.15	0.35	0.15	0	0.15	0.25	0.10	0.10	0	0	0.15	0	0.20
5	0.15	0.10	0.20	0	0.25	0.20	0.30	0	0.30	0.25	0.30	0.10	0.30	0.10	0.15
6	0.15	0.15	0.15	0.25	0.30	0	0.25	0.10	0	0.15	0.20	0	0.20	0.20	0.20
7	0.20	0.15	0.25	0	0.20	0.15	0.15	0	0.15	0.20	0.25	0.40	0	0.15	0
8	0.05	0.10	0	0.10	0.15	0.25	0	0.20	0.20	0.20	0.15	0.30	0.15	0.20	0.15
9	0	0	0.25	0.10	0.20	0.15	0.15	0	0.15	0.25	0	0.20	0.25	0.30	0.20
10	0	0	0.15	0.30	0.25	0.20	0.25	0.20	0.10	0.15	0.15	0.20	0.20	0.15	0.35

射击区域	目标
射击区域	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15
1	0.55	0.50	0.45	0.45	0.50	0.20	0.15	0.15	0.25	0.20	0.25	0.35	0.30	0.25	0.20
2	0.30	0.60	0.45	0.30	0.30	0.15	0.25	0.25	0.30	0.45	0.40	0.20	0.20	0.20	0.20
3	0.30	0.50	0.35	0.45	0.45	0.30	0.35	0.30	0.45	0.35	0.40	0.30	0.35	0.45	0.50
4	0.40	0.50	0.55	0.50	0.65	0.30	0.25	0.30	0.40	0.50	0.45	0.55	0.65	0.50	0.40
5	0.25	0.35	0.70	0.40	0.50	0.55	0.35	0.40	0.60	0.45	0.45	0.40	0.45	0.45	0.40
6	0.30	0.25	0.55	0.55	0.40	0.50	0.45	0.55	0.50	0.40	0.55	0.40	0.45	0.50	0.35
7	0.40	0.25	0.20	0.30	0.30	0.40	0.65	0.45	0.45	0.55	0.45	0.35	0.55	0.45	0.45
8	0.30	0.35	0.40	0.55	0.30	0.25	0.50	0.50	0.40	0.55	0.65	0.45	0.45	0.35	0.50
9	0.35	0.20	0.20	0.45	0.30	0.50	0.25	0.55	0.40	0.30	0.35	0.35	0.35	0.60	0.55
10	0.20	0.30	0.30	0.40	0.35	0.45	0.30	0.40	0.55	0.35	0.20	0.55	0.40	0.55	0.70

参数	规模
	小			中			大
	Y₁	Y₂	Y₃	Y₁	Y₂	Y₃	Y₁	Y₂	Y₃
J_max	0.887 0	0.895 3	0.895 8	0.894 4	0.884 5	0.873 7	0.863 7	0.852 9	0.867 6
评价次数	3.6×10³	2.7×10³	3.0×10³	9.8×10¹²	3.8×10¹²	2.8×10¹²	1.6×10³⁴	2.3×10³²	7.1×10³³

规模	战例	指标	ABC-NEH算法	RNADE算法	IABCI算法	标准ABC算法	本文算法
小规模	Y₁	Mean Std SR(100%)/% SR(99%)/%	3.038×10^-4 8.691×10^-4 87 100	9.028×10^-4 1.564×10^-3 73 100	1.244×10^-3 1.562×10^-3 55 100	6.078×10^-3 6.153×10^-3 16 73	1.670×10^-5 1.670×10^-4 99 100
	Y₂	Mean Std SR(100%)/% SR(99%)/%	0 0 100 100	2.781×10^-6· 2.781×10^-5 99 100	0 0 100 100	4.695×10^-3 8.7×10^-3 69 77	0 0 100 100
	Y₃	Mean Std SR(100%)/% SR(99%)/%	1.390×10^-3 3.463×10^-3 86 86	2.305×10^-3 4.523×10^-3 78 78	4.022×10^-3 6.473×10^-3 68 68	1.761×10^-2 9.973×10^-3 12 12	0 0 100 100
中规模	Y₁	Mean Std SR(100%)/% SR(99%)/%	2.087×10^-2 4.989×10^-3 0 1	1.025×10^-2 5.258×10^-3 4 44	2.867×10^-2 6.159×10^-3 0 0	4.176×10^-2 8.021×10^-3 0 0	2.225×10^-3 2.232×10^-3 38 100
	Y₂	Mean Std SR(100%)/% SR(99%)/%	1.631×10^-2 4.683×10^-3 0 8	8.311×10^-3 5.245×10^-3 5 53	2.305×10^-2 5.616×10^-3 0 3	3.578×10^-2 7.128×10^-3 0 0	1.941×10^-3 1.997×10^-3 30 100
	Y₃	Mean Std SR(100%)/% SR(99%)/%	1.593×10^-2 4.513×10^-3 0 10	1.220×10^-2 4.807×10^-3 1 22	2.145×10^-2 4.544×10^-3 0 0	3.139×10^-2 5.690×10^-3 0 0	4.103×10^-3 2.681×10^-3 3 95
大规模	Y₁	Mean Std SR(100%)/% SR(99%)/%	3.768×10^-2 4.868×10^-3 0 0	1.271×10^-2 4.442×10^-3 0 18	4.749×10^-2 5.591×10^-3 0 0	6.188×10^-2 6.032×10^-3 0 0	9.152×10^-3 3.124×10^-3 0 50
	Y₂	Mean Std SR(100%)/% SR(99%)/%	3.310×10^-2 5.156×10^-3 0 0	8.236×10^-3 4.241×10^-3 0 52	4.126×10^-2 5.193×10^-3 0 0	5.349×10^-2 6.716×10^-3 0 0	5.505×10^-3 2.712×10^-3 0 80
	Y₃	Mean Std SR(100%)/% SR(99%)/%	3.452×10^-2 5.583×10^-3 0 0	8.316×10^-3 4.232×10^-3 0 52	4.360×10^-2 6.935×10^-3 0 0	6.034×10^-2 6.880×10^-3 0 0	5.536×10^-3 2.762×10^-3 1 84

Bee colony algorithm based model of tank troop deployment and firepower allocation

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规模	指标	qABC算法	GRABC算法	eABC算法	标准ABC算法	本文算法
小规模	Mean Std SR(100%)/% SR(99%)/%	3.221×10^-3 5.339×10^-3 96 100	2.141×10^-3 3.982×10^-3 96 100	1.338×10^-4 1.338×10^-4 100 100	5.201×10^-3 6.017×10^-3 92 100	0 0 100 100
中规模	Mean Std SR(100%)/% SR(99%)/%	3.318×10^-3 7.212×10^-3 12 80	4.231×10^-3 4.414×10^-3 16 88	3.012×10^-3 3.787×10^-3 16 90	5.250×10^-3 6.722×10^-3 4 56	2.101×10^-3 3.016×10^-3 28 92
大规模	Mean Std SR(100%)/% SR(99%)/%	2.235×10^-2 4.555×10^-3 0 32	9.134×10^-3 1.092×10^-2 0 36	8.776×10^-3 2.712×10^-3 0 44	4.414×10^-2 1.321×10^-2 0 8	6.120×10^-3 3.100×10^-3 4 68

[1]	WANG Minle, FAN Yangtao. Intelligent solving algorithm for effectsbased firepower allocation model of conventional missiles [J]. Systems Engineering and Electronics, 2017, 39(11): 2509-2514.
[2]	WANG Hui-ying, WANG Wen-bin. Hybrid bee colony algorithm with modified search strategy [J]. Systems Engineering and Electronics, 2014, 36(10): 2094-2101.

参数	规模
参数	小规模	中规模	大规模
Y_best	[6, 3, 1, 0]	[5, 1, 6, 2, 3, 3, 0]	[6, 2, 6, 2, 7, 3, 2, 6, 3, 3]
J_max	0.932 4	0.902 1	0.875 8